Question

Y = 3x

y = 1/2x Find by using systems of equation by elimination.

A. One solution
B. No Solution
C. Infinitely Many Solutions

Answer 1

A. One solution

Explanation:

as well as the formula of one solution is

a1/a2 ≠ b1/b2

so 1/1 ≠ 3/1 × 2/1

1/1 ≠ 6/1

so the solution of the equation is A. one solution

In elimination method since the coefficient is y= 1 it become same by this method.

Answer 2

Explanation:

y = 3x + 0

y = 1/2x + 0

y = 3x + 0

-3x -3x

y - 3x = 0

y = 1/2x + 0

2(y = 1/2x + 0)

2y = x + 0

-x -x

2y - x = 0

y - 3x = 0

2y - x = 0

1(y - 3x = 0) = y = - 3x = 0

-3(2y - x = 0) = -6y + 3x = 0

y = - 3x = 0

-6y + 3x = 0

-5y = 0

/-5 /-5

y = 0

y = 3x + 0

0 = 3x + 0

-3x -3x

-3x + 0 = 0

- 0 -0

-3x = 0

/-3 /-3

x = 0

(x,y) -> (0, 0)

Hope this helps!